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Title: The running coupling of 8 flavors and 3 colors

Journal Article · · Journal of High Energy Physics (Online)
 [1];  [2];  [3];  [4];  [4];  [5]
  1. Univ. of Wuppertal (Germany). Dept. of Physics; Julich Supercomputing Center, Julich (Germany); Eotvos Univ., Budapest (Hungary). Inst. for Theoretical Physics
  2. Univ. of the Pacific, Stockton, CA (United States)
  3. Univ. of California, San Diego, CA (United States)
  4. Eotvos Univ., Budapest (Hungary). Inst. for Theoretical Physics; MTA-ELTE Lendulet Lattice Gauge Theory Research Group, Budapest (Hungary)
  5. Univ. of Wuppertal (Germany). Dept. of Physics

We compute the renormalized running coupling of SU(3) gauge theory coupled to Nf = 8 flavors of massless fundamental Dirac fermions. The recently proposed finite volume gradient flow scheme is used. The calculations are performed at several lattice spacings allowing for a controlled continuum extrapolation. The results for the discrete β-function show that it is monotonic without any sign of a fixed point in the range of couplings we cover. Finally, as a cross check the continuum results are compared with the well-known perturbative continuum β-function for small values of the renormalized coupling and perfect agreement is found.

Research Organization:
Univ. of California, San Diego, CA (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
SC0009919
OSTI ID:
1454831
Journal Information:
Journal of High Energy Physics (Online), Vol. 2015, Issue 6; ISSN 1029-8479
Publisher:
Springer BerlinCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 24 works
Citation information provided by
Web of Science

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The physics of eight flavours
  • Deuzeman, Albert; Lombardo, Maria-Paola; Pallante, Elisabetta
  • Proceedings of The XXVI International Symposium on Lattice Field Theory — PoS(LATTICE 2008) https://doi.org/10.22323/1.066.0060
conference June 2009
Space-time symmetries and the Yang-Mills gradient flow
  • Patella, Agostino; Del Debbio, Luigi; Rago, Antonio
  • Proceedings of 31st International Symposium on Lattice Field Theory LATTICE 2013 — PoS(LATTICE 2013) https://doi.org/10.22323/1.187.0324
conference April 2014
Full result for the QCD equation of state with 2+1 flavors text January 2014
Lattice Study of the Conformal Window in QCD-like Theories text January 2007
The physics of eight flavours text January 2008
Ab-initio Determination of Light Hadron Masses text January 2009
Nearly conformal gauge theories in finite volume text January 2009
Properties and uses of the Wilson flow in lattice QCD text January 2010
Perturbative analysis of the gradient flow in non-abelian gauge theories text January 2011
Space-time symmetries and the Yang-Mills gradient flow text January 2013
Open Boundary Condition, Wilson Flow and the Scalar Glueball Mass text January 2014
Step scaling and the Yang-Mills gradient flow text January 2014
The lattice gradient flow at tree-level and its improvement text January 2014
The gradient flow running coupling with twisted boundary conditions text January 2014
Lattice QCD as a video game text January 2006
Full result for the QCD equation of state with 2+1 flavors text January 2014

Cited By (11)

Addressing the B-physics anomalies in a fundamental Composite Higgs model journal July 2018
The twelve-flavor β-function and dilaton tests of the sextet scalar journal January 2018
A new method for the beta function in the chiral symmetry broken phase journal January 2018
Nonperturbative β function of twelve-flavor SU(3) gauge theory text January 2018
Nonperturbative investigations of SU(3) gauge theory with eight dynamical flavors text January 2019
The running coupling of the minimal sextet composite Higgs model preprint January 2015
Low-energy effective action for pions and a dilatonic meson text January 2016
Strong dynamics, composite Higgs and the conformal window text January 2016
Nonperturbative beta function of twelve-flavor SU(3) gauge theory text January 2016
Addressing the B-physics anomalies in a fundamental Composite Higgs Model text January 2018
Slope of the beta function at the fixed point of SU(2) gauge theory with six or eight flavors text January 2018

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